Convert to Logarithmic Form 3^5=243

Problem

3^5=243

Solution

1. Identify the base, the exponent, and the result in the given exponential equation b^x=y

2. Recognize that in the equation 3^5=243 the base is b=3 the exponent is x=5 and the result is y=243

3. Apply the definition of a logarithm, which states that b^x=y is equivalent to (log_b)(y)=x

4. Substitute the identified values into the logarithmic form to get (log_3)(243)=5

Final Answer

3^5=243⇔(log_3)(243)=5

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